11.33 Suppose we have a linear equation through the origin (Exercise 11.28) Y |x = x. (a) Estimate the regression line passing through the origin

11.33 Suppose we have a linear equation through the origin (Exercise 11.28) μY |x = βx.

(a) Estimate the regression line passing through the origin for the following data:

x 0.5 1.5 3.2 4.2 5.1 6.5 y 1.3 3.4 6.7 8.0 10.0 13.2

(b) Suppose it is not known whether the true regression should pass through the origin. Estimate the linear model μY |x = β0 + β1x and test the hypothesis that β0 = 0, at the 0.10 level of significance, against the alternative that β0 = 0.